Find the equation of the line that is perpendicular to Y=6x+3 and passes through the point (-24,5)
1 answer:
The slope of the given line is the coefficient of x, 6. The slope of the perpendicular line will be the negative reciprocal of that, -1/6. Then the point-slope form of the equation of the line is
y = m(x -h) +k . . . . . . line with slope m through point (h, k)
You want m=-1/6, (h, k) = (-24, 5), so your equation is
y = (-1/6)(x +24) +5
y = (-1/6)x +1
y = m(x -h) +k . . . . . . line with slope m through point (h, k)
You want m=-1/6, (h, k) = (-24, 5), so your equation is
y = (-1/6)(x +24) +5
y = (-1/6)x +1
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AC in this problem will equal 87. If the (units) is where you put the put units like feet, inches if there is units.
Answer:
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.
Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.
To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a , creating right triangles
and
.
The Pythagorean Theorem states that the following is true for any right triangle:
, where
is the hypotenuse, or the longest side, of the triangle
Thus, we have:
Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.
What we know:
Thus, the perimeter of the quadrilateral PTOS is equal to